Search a number
-
+
33121013202 = 2321840056289
BaseRepresentation
bin11110110110001010…
…101000110111010010
310011111021000210121200
4132312022220313102
51020312434410302
623114322132030
72251524652464
oct366612506722
9104437023550
1033121013202
1113056a48492
1265041b1016
13317ab69784
141862b52134
15cdcb2381c
hex7b62a8dd2

33121013202 has 12 divisors (see below), whose sum is σ = 71762195310. Its totient is φ = 11040337728.

The previous prime is 33121013183. The next prime is 33121013323. The reversal of 33121013202 is 20231012133.

33121013202 is a `hidden beast` number, since 331 + 2 + 10 + 1 + 320 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17461243881 + 15659769321 = 132141^2 + 125139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1840056289 = 33121013202 / (3 + 3 + 1 + 2 + 1 + 0 + 1 + 3 + 2 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 920028127 + ... + 920028162.

Almost surely, 233121013202 is an apocalyptic number.

33121013202 is an abundant number, since it is smaller than the sum of its proper divisors (38641182108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33121013202 is a wasteful number, since it uses less digits than its factorization.

33121013202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840056297 (or 1840056294 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33121013202 its reverse (20231012133), we get a palindrome (53352025335).

The spelling of 33121013202 in words is "thirty-three billion, one hundred twenty-one million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 1840056289 3680112578 5520168867 11040337734 16560506601 33121013202